Yes.
<h3>Justification:</h3>
Here,
- a1/a2 = 2a/4a = 1/2,
- b1/b2 = b/2b = 1/2,
- c1/c2 = - a/- 2a = 1/2.
∵ a1/a2 = b1/b2 = c1/c2
∴ <u>The given system of equations is consistent</u>.
Answer:
x=6
Step-by-step explanation:
By the Product Rule of Logarithms, the logarithm of the product of numbers is the sum of the logarithms of the numbers.

Raise both sides to the power of 10 to eliminate the logs, obtaining:



x = -2 or x = 6. Since x = -2 is extraneous, it follows that x = 6.
Answer:
y=4x+2
Step-by-step explanation:
Answer:
The time it took until 2 inches of rain fell is 8 hours
Step-by-step explanation:
You know that the proportional relationship between the amount of time (in hours) it had been raining, x, and the amount of rain (in inches) it had fallen, y, is y = 0.25*x
To find the time that passed until 2 inches of rain fell, you must replace the amount of rain (in inches) that had fallen "and" by that value. In this way the following expression is obtained:
2= 0.25*x
Solving:

8 = x
So, remembering that the amount of time it had been raining, x, is expressed in hours, <u><em>the time it took until 2 inches of rain fell is 8 hours</em></u>.
Answer:
jyyj
Step-by-step explanation:
From the figure,
Radius matches with (F) that is a segment between the centre of a circle and a point on the circle.
Arc matches with (D) that is Circle A and the portion of the circle between points B and C is darkened.
Chord matches with (C) Circle A and a line segment connecting points B and C which are on the circle.
Secant matches with (E) that is Circle A and a line segment connecting points B and C which are on the circle.
Tangent matches with (A) that is a line intersects a circle in exactly one point.
Circumference matches (B) that is the distance around a circle.